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Total vertex irregularity strength of corona product of some graphs | ||
Journal of Algorithms and Computation | ||
مقاله 9، دوره 48، شماره 1، اسفند 2016، صفحه 127-140 اصل مقاله (518.29 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22059/jac.2016.7948 | ||
نویسندگان | ||
P. Jeyanthi* 1؛ A. Sudha2 | ||
1Research Centre, Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur-628 215, Tamil Nadu, India. | ||
2Department of Mathematics, Wavoo Wajeeha Women’s College of Arts and Science, Kayalpatnam -628 204,Tamil Nadu, India. | ||
چکیده | ||
A vertex irregular total k-labeling of a graph G with vertex set V and edge set E is an assignment of positive integer labels {1, 2, ..., k} to both vertices and edges so that the weights calculated at vertices are distinct. The total vertex irregularity strength of G, denoted by tvs(G)is the minimum value of the largest label k over all such irregular assignment. In this paper, we study the total vertex irregularity strength for n ≥ 3, m ≥ 2, Pn ⊙ K1, Pn ⊙ K2, Cn ⊙ K2, Ln ⊙ K1, CLn ⊙ K1, P2 ⊙ Cn, Pn ⊙ Km, Cn ⊙ Km | ||
کلیدواژهها | ||
irregularity strength؛ total vertex irregularity strength؛ vertex irregular total labeling؛ corona product of path and cycle؛ path and complete graph؛ ladder and complete graph؛ Graph | ||
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